Title :
Optimal models of fractional integrators and application to systems with fading memory
Author :
Montseny, G. ; Audounet, J. ; Mbodje, B.
Author_Institution :
Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France
Abstract :
Dynamic input-output models of fractional integrators are presented. They are based on simple diffusion equations and offer many advantages, namely nonheredity and easy and efficient numerical approximation possibilities via standard methods. An abstract linear hyperbolic system with fractional fading memory is analysed via this approach, in the aim of demonstrating the suitability of such tools
Keywords :
diffusion; distributed parameter systems; integration; optimisation; abstract linear hyperbolic system; diffusion equations; dynamic input-output models; fractional fading memory; fractional integrators; nonheredity; numerical approximation; Differential equations; Elasticity; Fading; Fractional calculus; Integral equations; Kernel; Laplace equations; Mathematical analysis; Partial differential equations; Viscosity;
Conference_Titel :
Systems, Man and Cybernetics, 1993. 'Systems Engineering in the Service of Humans', Conference Proceedings., International Conference on
Conference_Location :
Le Touquet
Print_ISBN :
0-7803-0911-1
DOI :
10.1109/ICSMC.1993.390826
